There will be "a fuller presentation later in the week," Obama said of the plan designed to confront the kind of mass gun violence that killed 20 children and six adults last month at an elementary school in Newtown, Conn.

"My starting point is not to worry about the politics," Obama said. "My starting point is to focus on what makes sense, what works, what should we be doing to make sure that our children are safe and that we're reducing the incidence of gun violence."

The National Rifle Association and other gun rights supporters — including members of the Republican-run U.S. House — say they will oppose new gun control measures, calling them ineffective violations of Second Amendment rights.

"Our objection to those things is that they interfere with people's rights without doing anything to solve the problem," NRA President David Keene said on CNN this weekend.

Keene and other NRA members say they support more armed guards at schools and better background checks to make sure people declared mentally ill cannot obtain weapons.

Asked about the opposition, Obama said he believes in the Second Amendment right to own guns, and that is not the object of his inquiry. The issue, he said, is "are there some sensible steps that we can take to make sure that somebody like the individual in Newtown can't walk into a school and gun down a bunch of children in a shockingly rapid fashion?"

Obama said he feels obligated to tell the American people what he believes will work to prevent shootings. The president noted he could take executive action, without the approval of Congress. One potential example, he said: data systems to track the movement of guns.

"If there is a step we can take that will save even one child from what happened in Newtown, we should take that step," Obama said.

In recent days, Biden has held a string of meetings with officials involved in the gun debate, including a representative of the NRA. Biden sat down Monday with the House Democratic task force on gun violence, lawmakers who would be involved in passing a legislative package.

In his news conference, Obama said he is "grateful" for Biden's work and proposals that "I will address in the next few days, and I intend to vigorously pursue."